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Simplifying 3.2y + 5 = 3 + 2(1.4y + 4) Reorder the terms: 5 + 3.2y = 3 + 2(1.4y + 4) Reorder the terms: 5 + 3.2y = 3 + 2(4 + 1.4y) 5 + 3.2y = 3 + (4 * 2 + 1.4y * 2) 5 + 3.2y = 3 + (8 + 2.8y) Combine like terms: 3 + 8 = 11 5 + 3.2y = 11 + 2.8y Solving 5 + 3.2y = 11 + 2.8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2.8y' to each side of the equation. 5 + 3.2y + -2.8y = 11 + 2.8y + -2.8y Combine like terms: 3.2y + -2.8y = 0.4y 5 + 0.4y = 11 + 2.8y + -2.8y Combine like terms: 2.8y + -2.8y = 0.0 5 + 0.4y = 11 + 0.0 5 + 0.4y = 11 Add '-5' to each side of the equation. 5 + -5 + 0.4y = 11 + -5 Combine like terms: 5 + -5 = 0 0 + 0.4y = 11 + -5 0.4y = 11 + -5 Combine like terms: 11 + -5 = 6 0.4y = 6 Divide each side by '0.4'. y = 15 Simplifying y = 15
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